[HTML][HTML] A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams
The enabling emerging technologies such as nanotechnology increased the demand for
small-size devices. The proper understanding of the nonclassical behavior of nanostructures …
small-size devices. The proper understanding of the nonclassical behavior of nanostructures …
A general nonlocal beam theory: its application to nanobeam bending, buckling and vibration
M Aydogdu - Physica E: Low-dimensional Systems and …, 2009 - Elsevier
In the present study, a generalized nonlocal beam theory is proposed to study bending,
buckling and free vibration of nanobeams. Nonlocal constitutive equations of Eringen are …
buckling and free vibration of nanobeams. Nonlocal constitutive equations of Eringen are …
[HTML][HTML] Bending analysis of microtubules using nonlocal Euler–Bernoulli beam theory
In this paper, elastic beam model using nonlocal elasticity theory is developed for the
bending analysis of microtubules (MTs) based on the Euler–Bernoulli beam theory. The size …
bending analysis of microtubules (MTs) based on the Euler–Bernoulli beam theory. The size …
A simple mathematical model of microtubules surrounded by an elastic matrix by nonlocal finite element method
A simple nonlocal beam model is proposed to study buckling response of protein
microtubules. The size-effect for buckling model of microtubules is considered by using the …
microtubules. The size-effect for buckling model of microtubules is considered by using the …
Axial vibration of the nanorods with the nonlocal continuum rod model
M Aydogdu - Physica E: Low-dimensional Systems and …, 2009 - Elsevier
Nonlocal elastic rod model is developed and applied to investigate the small-scale effect on
axial vibration of nanorods. Explicit expressions are derived for frequencies for clamped …
axial vibration of nanorods. Explicit expressions are derived for frequencies for clamped …
Recent researches on nonlocal elasticity theory in the vibration of carbon nanotubes using beam models: a review
L Behera, S Chakraverty - Archives of Computational Methods in …, 2017 - Springer
Understanding dynamic behavior of carbon nanotubes has been of interest to researchers
because of its practical applications. Recent studies show that nonlocal elasticity theory …
because of its practical applications. Recent studies show that nonlocal elasticity theory …
Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory
T Aksencer, M Aydogdu - Physica E: Low-dimensional Systems and …, 2011 - Elsevier
In the present study, buckling and vibration of nanoplates are studied using nonlocal
elasticity theory. Navier type solution is used for simply supported plates and Levy type …
elasticity theory. Navier type solution is used for simply supported plates and Levy type …
Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory
Nonlinear free vibration of single-walled carbon nanotubes (SWCNTs) is studied in this
paper based on von Kármán geometric nonlinearity and Eringen's nonlocal elasticity theory …
paper based on von Kármán geometric nonlinearity and Eringen's nonlocal elasticity theory …
[HTML][HTML] Torsional and longitudinal frequency and wave response of microtubules based on the nonlocal continuum and nonlocal discrete models
In this paper, the size-effects in the torsional and axial response of microtubules by using the
nonlocal continuum rod model is investigated. To this end, continuous and discrete rod …
nonlocal continuum rod model is investigated. To this end, continuous and discrete rod …
Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method
M Danesh, A Farajpour, M Mohammadi - Mechanics Research …, 2012 - Elsevier
The small scale effect on the axial vibration of a tapered nanorod is studied employing
nonlocal elasticity theory. The nonlocal elasticity theory is used to analyze the mechanical …
nonlocal elasticity theory. The nonlocal elasticity theory is used to analyze the mechanical …